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Algebra Level 1

let x+y=8,x-y=2,then find the value of x?


The answer is 5.

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4 solutions

Tijmen Veltman
Feb 22, 2015

Adding the two equations:

( x + y ) + ( x y ) = 8 + 2 (x+y)+(x-y)=8+2

2 x = 10 2x=10

x = 5 x=\boxed{5} .

But doesnt this problem even depend upon the value of y ?????

Gagan Raj - 6 years, 3 months ago

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Well, only solution to this problem is x = 5 , y = 3 x=5,y=3 . If you'll change x x , then y y will vary but it won't be same for another value of x x .

Pranjal Jain - 6 years, 3 months ago

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Hmmm!!!!! Ok Ok !!!!! Thanx for the explanation!!!!!

Gagan Raj - 6 years, 3 months ago
Frankie Fook
Feb 28, 2015

x+y=8,x-y=2,thus consider x and y are two integers and 8/2=4 mean x=4,y=4 for first equation, then begin the second equation with 2/2=1,thus x=1 and y=1,so let's combine these two which mean x(first equation)+x(second equation) while y(first equation)-y(second equation)= x(4)+x(1)=5 while y(4)-y(1)=3

Ashish Menon
May 29, 2016

Add the equations to obtain:- 2 x = 10 2x = 10 . So, x = 5 x = \color{#69047E}{\boxed{5}} .

Anand Thakre
Aug 24, 2015

Adding the two equations 2x=10, x=5

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